LCM of 708, 835, 572, 560, 209
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 708, 835, 572, 560, 209 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 708, 835, 572, 560, 209. So, keep reading to learn more.
Given numbers are 708,835,572,560,209
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 708,835,572,560,209 is 44974609680.
Find LCM of 708,835,572,560,209 with Prime Factorization
| 2 | 708, 835, 572, 560, 209 |
| 2 | 354, 835, 286, 280, 209 |
| 5 | 177, 835, 143, 140, 209 |
| 11 | 177, 167, 143, 28, 209 |
| 177, 167, 13, 28, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 177 x 167 x 13 x 28 x 19 = 44974609680
Therefore, the lowest common multiple of 708,835,572,560,209 is 44974609680.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
708 x 835 x 572 x 560 x 209 = 39577656518400
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
835 : 1, 5, 167, 835
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
209 : 1, 11, 19, 209
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 708,835,572,560,209, is 1.
Now, the common factors can be found like this.
708:2x 2x 3x 59
835:5x 167
572:2x 2x 11x 13
560:2x 2x 2x 2x 5x 7
209:11x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 5x 11 = 880
Therefore, the value for common factors is 880.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 39577656518400/(1x880)
LCM = 39577656518400/880
LCM = 44974609680
Thus, we can understand that the LCM of 708,835,572,560,209 is 44974609680.
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FAQs on LCM of 708, 835, 572, 560, 209
1. What is the LCM of 708, 835, 572, 560, 209?
Answer: LCM of 708, 835, 572, 560, 209 is 44974609680.
2. How to calculate the LCM of 708, 835, 572, 560, 209?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 708, 835, 572, 560, 209.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.